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Author : Joseph Landin
Publisher : Courier Corporation
Page : 275 pages
File Size : 42,8 Mb
Release : 2012-08-29
Category : Mathematics
ISBN : 9780486150413
This self-contained text covers sets and numbers, elements of set theory, real numbers, the theory of groups, group isomorphism and homomorphism, theory of rings, and polynomial rings. 1969 edition.
Author : George R. Kempf
Publisher : Springer Science & Business Media
Page : 174 pages
File Size : 41,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783322802781
In algebra there are four basic structures: groups, rings, fields and modules. In this book the theory of these basic structures is presented and the laws of composition - the basic operations of algebra - are studied. Essentially, no previous knowledge is required, it is only assumed as background that the reader has learned some linear algebra over the real numbers.Dieses Lehrbuch, verfasst von einem anerkannten amerikanischen Mathematiker, ist eine unkonventionelle Einführung in die Algebra. Es gibt vier grundlegende Strukturen in der Algebra: Gruppen, Ringe, Körper und Moduln. Das Buch behandelt die Theorie dieser Strukturen und beschreibt die Verknüpfungsregeln, die grundlegenden Operationen der Algebra. Die Darstellung ist elementar: es werden nur Kenntnisse der Linearen Algebra vorausgesetzt, weitere Fachkenntnisse sind nicht erforderlich.
Author : Larry J. Gerstein
Publisher : W H Freeman & Company
Page : 413 pages
File Size : 53,9 Mb
Release : 1987-01-01
Category : Algebra, Abstract.
ISBN : 0716718049
Provides a brief but substantial introduction to ideas, structures and techniques in discrete mathematics and abstract algebra. It addresses many of the common mathematical needs of students in mathematics and computer science at undergraduate level.
Author : Palash B. Pal
Publisher : Cambridge University Press
Page : 717 pages
File Size : 40,5 Mb
Release : 2019-05-23
Category : Science
ISBN : 9781108492201
Algebraic structures including vector space, groups, topological spaces and more, all covered in one volume, showing the mutual connections.
Author : Jorge Martínez
Publisher : Springer Science & Business Media
Page : 323 pages
File Size : 46,7 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9781475736274
From the 28th of February through the 3rd of March, 2001, the Department of Math ematics of the University of Florida hosted a conference on the many aspects of the field of Ordered Algebraic Structures. Officially, the title was "Conference on Lattice Ordered Groups and I-Rings", but its subject matter evolved beyond the limitations one might associate with such a label. This volume is officially the proceedings of that conference, although, likewise, it is more accurate to view it as a complement to that event. The conference was the fourth in wh at has turned into aseries of similar conferences, on Ordered Algebraic Structures, held in consecutive years. The first, held at the University of Florida in Spring, 1998, was a modest and informal affair. The fifth is in the final planning stages at this writing, for March 7-9, 2002, at Vanderbilt University. And although these events remain modest and reasonably informal, their scope has broadened, as they have succeeded in attracting mathematicians from other, related fields, as weIl as from more distant lands.
Author : J. M. Boardman,R. M. Vogt
Publisher : Springer
Page : 268 pages
File Size : 40,7 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540377993
Author : T.S. Blyth
Publisher : Springer Science & Business Media
Page : 311 pages
File Size : 51,9 Mb
Release : 2005-04-18
Category : Mathematics
ISBN : 9781852339050
"The text can serve as an introduction to fundamentals in the respective areas from a residuated-maps perspective and with an eye on coordinatization. The historical notes that are interspersed are also worth mentioning....The exposition is thorough and all proofs that the reviewer checked were highly polished....Overall, the book is a well-done introduction from a distinct point of view and with exposure to the author’s research expertise." --MATHEMATICAL REVIEWS
Author : O. A. Laudal
Publisher : Springer
Page : 165 pages
File Size : 55,9 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540385325
Author : Jorge Martínez,W.C. Holland
Publisher : Springer Science & Business Media
Page : 257 pages
File Size : 47,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401117234
This volume contains a selection of papers presented at the 1991 Conrad Conference, held in Gainesville, Florida, USA, in December, 1991. Together, these give an overview of some recent advances in the area of ordered algebraic structures. The first part of the book is devoted to ordered permutation groups and universal, as well as model-theoretic, aspects. The second part deals with material variously connected to general topology and functional analysis. Collectively, the contents of the book demonstrate the wide applicability of order-theoretic methods, and how ordered algebraic structures have connections with many research disciplines. For researchers and graduate students whose work involves ordered algebraic structures.
Author : L. Molnár
Publisher : Springer
Page : 236 pages
File Size : 50,6 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540399469
The territory of preserver problems has grown continuously within linear analysis. This book presents a cross-section of the modern theory of preservers on infinite dimensional spaces (operator spaces and function spaces) through the author's corresponding results. Special emphasis is placed on preserver problems concerning some structures of Hilbert space operators which appear in quantum mechanics. In addition, local automorphisms and local isometries of operator algebras and function algebras are discussed in detail.
Author : W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher : Infinite Study
Page : 199 pages
File Size : 40,6 Mb
Release : 2012
Category : Algebra, Boolean
ISBN : 9781599732169
"[The] study of algebraic structures using subsets [was] started by George Boole. After the invention of Boolean algebra, subsets are not used in building any algebraic structures. In this book we develop algebraic structures using subsets of a set or a group, or a semiring, or a ring, and get algebraic structures. Using group or semigroup, we only get subset semigroups. Using ring or semiring, we get only subset semirings. By this method, we get [an] infinite number of non-commutative semirings of finite order. We build subset semivector spaces, [and] describe and develop several interesting properties about them."--
Author : Gregory Budzban,Arunava Mukherjea
Publisher : American Mathematical Soc.
Page : 250 pages
File Size : 40,6 Mb
Release : 2000
Category : Lie groups
ISBN : 9780821820278
This volume presents results from an AMS Special Session held on the topic in Gainesville (FL). Papers included are written by an international group of well-known specialists who offer an important cross-section of current work in the field. In addition there are two expository papers that provide an avenue for non-specialists to comprehend problems in this area. The breadth of research in this area is evident by the variety of articles presented in the volume. Results concern probability on Lie groups and general locally compact groups. Generalizations of groups appear as hypergroups, abstract semigroups, and semigroups of matrices. Work on symmetric cones is included. Lastly, there are a number of articles on the current progress in constructing stochastic processes on quantum groups.
Author : Shalom Lappin,Jean-Philippe Bernardy
Publisher : CRC Press
Page : 346 pages
File Size : 54,8 Mb
Release : 2022-12-23
Category : Computers
ISBN : 9781000817881
Algebraic Structures in Natural Language addresses a central problem in cognitive science concerning the learning procedures through which humans acquire and represent natural language. Until recently algebraic systems have dominated the study of natural language in formal and computational linguistics, AI, and the psychology of language, with linguistic knowledge seen as encoded in formal grammars, model theories, proof theories and other rule-driven devices. Recent work on deep learning has produced an increasingly powerful set of general learning mechanisms which do not apply rule-based algebraic models of representation. The success of deep learning in NLP has led some researchers to question the role of algebraic models in the study of human language acquisition and linguistic representation. Psychologists and cognitive scientists have also been exploring explanations of language evolution and language acquisition that rely on probabilistic methods, social interaction and information theory, rather than on formal models of grammar induction. This book addresses the learning procedures through which humans acquire natural language, and the way in which they represent its properties. It brings together leading researchers from computational linguistics, psychology, behavioral science and mathematical linguistics to consider the significance of non-algebraic methods for the study of natural language. The text represents a wide spectrum of views, from the claim that algebraic systems are largely irrelevant to the contrary position that non-algebraic learning methods are engineering devices for efficiently identifying the patterns that underlying grammars and semantic models generate for natural language input. There are interesting and important perspectives that fall at intermediate points between these opposing approaches, and they may combine elements of both. It will appeal to researchers and advanced students in each of these fields, as well as to anyone who wants to learn more about the relationship between computational models and natural language.
Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
Page : 141 pages
File Size : 53,8 Mb
Release : 2009-01-01
Category : Mathematics
ISBN : 9781599730851
We study these new Smarandache algebraic structures, which are defined as structures which have a proper subset which has a weak structure.A Smarandache Weak Structure on a set S means a structure on S that has a proper subset P with a weaker structure.By proper subset of a set S, we mean a subset P of S, different from the empty set, from the original set S, and from the idempotent elements if any.A Smarandache Strong Structure on a set S means a structure on S that has a proper subset P with a stronger structure.A Smarandache Strong-Weak Structure on a set S means a structure on S that has two proper subsets: P with a stronger structure, and Q with a weaker structure.
Author : Fabrizio Broglia
Publisher : American Mathematical Soc.
Page : 366 pages
File Size : 51,6 Mb
Release : 2017
Category : Forms, Quadratic
ISBN : 9781470429669
This volume contains the proceedings of the international conference ""Ordered Algebraic Structures and Related Topics'', held from October 12-16, 2015, at CIRM, Luminy, Marseilles, France. Papers contained in this volume cover topics in real analytic geometry, real algebra, and real algebraic geometry including complexity issues, model theory of various algebraic and differential structures, Witt equivalence of fields, and the moment problem.